Algebra 2 - Simplify a negative radical using the imaginary unit i, sqrt(-64)

The video tutorial explains how to handle the square root of negative numbers by introducing the concept of complex numbers. It demonstrates the process of rewriting sqrt(-64) as 64 times -1 and applying the rules of radicals to simplify the expression. The tutorial concludes by representing sqrt(-1) as 'i', leading to the final solution.

What is the rewritten form of sqrt(-64) according to the text?

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What is the significance of separating radicans by multiplication?

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Explain the rules of radicals mentioned in the text.

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How can the square root of products be simplified according to the text?

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What are the square roots of 64 and -1 as described in the text?

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